A baker needs to cover a cylinder cake with icing. The cake has a radius of 5 inches and a height of 7 inches. How many square inches of icing will be needed to cover the sides and top of the cake? Icing will not be added to the bottom of the cake. Use 3.14 for pi and round your answer to the nearest tenth.

Answer 1

To find the surface area of the cylinder, we need to find the area of the top and bottom circle, as well as the lateral area.

The area of the top and bottom circle is given by:
A = (pi * radius^2) = 3.14 * 5^2 = 3.14 * 25 = 78.5 square inches (rounded to the nearest tenth).

The lateral area of the cylinder is given by:
A = (circumference * height) = (2 * pi * radius) * height = (2 * 3.14 * 5) * 7 = 31.4 * 7 = 219.8 square inches (rounded to the nearest tenth).

So the total area of icing needed to cover the sides and top of the cake is:
78.5 + 219.8 = 298.3 square inches (rounded to the nearest tenth). Answer: \boxed{298.3}.

Answer 2

A silo is a large cylinder container that holds hay. A farmer needs to refinish the side of the silo with aluminum. The silo has a radius of 4 feet and a height of 30 feet. How many square feet of aluminum does the farmer need to refinish the silo? He will not be refinishing the top or bottom of the silo. Use 3.14 for pi and round your answer to the nearest tenth.

Answer 3

To find the surface area of the silo, we need to find the lateral area.

The lateral area of the cylinder is given by:
A = (circumference * height) = (2 * pi * radius) * height = (2 * 3.14 * 4) * 30 = 25.12 * 30 = 753.6 square feet (rounded to the nearest tenth).

So the farmer will need to refinish approximately 753.6 square feet of aluminum. Answer: \boxed{753.6}.